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Simplifying 0.33(6x + 3) = 5x + 2 Reorder the terms: 0.33(3 + 6x) = 5x + 2 (3 * 0.33 + 6x * 0.33) = 5x + 2 (0.99 + 1.98x) = 5x + 2 Reorder the terms: 0.99 + 1.98x = 2 + 5x Solving 0.99 + 1.98x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.99 + 1.98x + -5x = 2 + 5x + -5x Combine like terms: 1.98x + -5x = -3.02x 0.99 + -3.02x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 0.99 + -3.02x = 2 + 0 0.99 + -3.02x = 2 Add '-0.99' to each side of the equation. 0.99 + -0.99 + -3.02x = 2 + -0.99 Combine like terms: 0.99 + -0.99 = 0.00 0.00 + -3.02x = 2 + -0.99 -3.02x = 2 + -0.99 Combine like terms: 2 + -0.99 = 1.01 -3.02x = 1.01 Divide each side by '-3.02'. x = -0.3344370861 Simplifying x = -0.3344370861
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